Rationally Connected Varieties and Loop Spaces

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We consider rationally connected complex projective manifolds M and show that their loop spaces--infinite dimensional complex manifolds--have properties similar to those of M. Furthermore, we give a finite dimensional application concerning holomorphic vector bundles over rationally connected complex projective manifolds.
24 pages

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Algebraic Geometry, Complex Variables, 14J45, 32H02

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http://salesiana.dossiersoluciones.com/handle/123456789/75860

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0507449
 http://arxiv.org/abs/math/0507449

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arXiv